The nj department of highways wants to estimate the average number of the passenger cars that pass a busy intersection of r1 each day. the requirements are that the estimate be within t.10 cars per day of the population mean and that the investigators be 99% confident of the results. a similar study showed that the standard deviation to be 50 cars per day. how large a sample is required? a) 13 b) 67 c) 52 d) 161 e) 167

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. if a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. what is the margin of error of the sample mean? a. 0.086% b. 0.533% c. 1.11% d. 2.22%

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

New york is the 27th largest state in the united states.what percent of the 50 states in the us are larger than new york